A full container holds 5/8 of a gallon of liquid. If the container is 4/5 full, how much liquid is in the container? I need answer to problem and how you solved it using words for the explanation.
25/32 u need to solve the equation 5/8 / 4/5
To find 5/8 of 4/5, you multiply the two.
4/5 * 5/8 = 20/40 = 1/2
that is wrong duh
To solve this problem, we can follow these steps:
Step 1: Determine the total capacity of the container.
We know that a full container holds 5/8 of a gallon of liquid. This means the total capacity of the container is 5/8 of a gallon.
Step 2: Find the amount of liquid in the container when it is 4/5 full.
We are given that the container is 4/5 full. To find the amount of liquid in the container, we need to calculate 4/5 of the total capacity.
Step 3: Multiply the total capacity by 4/5.
To find 4/5 of the total capacity, we multiply the total capacity by 4/5. Mathematically, this can be written as:
(5/8) * (4/5)
Step 4: Simplify the multiplication.
To simplify the multiplication, we multiply the numerators (5 * 4) to get 20, and multiply the denominators (8 * 5) to get 40. So, (5/8) * (4/5) simplifies to 20/40.
Step 5: Simplify the fraction.
To further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 20. Dividing 20 by 20 gives us 1, and dividing 40 by 20 gives us 2. Therefore, 20/40 simplifies to 1/2.
Step 6: Interpret the result.
The simplified fraction 1/2 represents the amount of liquid in the container when it is 4/5 full. So, the answer to the problem is "There is 1/2 gallon of liquid in the container when it is 4/5 full."